Breakup and finite-range effects on the 8B(d,n)9C reaction

Abstract

The astrophysical factor of ${}^8$B($p$,$\gamma$)${}^9$C at zero energy, $S_{18}(0)$, is determined by a three-body coupled-channels analysis of the transfer reaction ${}^8$B($d$,$n$)${}^9$C at 14.4 MeV/nucleon. Effects of the breakup channels of $d$ and ${}^9$C are investigated with the continuum-discretized coupled-channels method. It is found that, in the initial and final channels, respectively, the transfer process through the breakup states of $d$ and ${}^9$C, its interference with that through their ground states in particular, gives a large increase in the transfer cross section. The finite-range effects with respect to the proton-neutron relative coordinate are found to be about 20%. As a result of the present analysis, $S_{18}(0)=22\pm 6\mathrm{eV}\mathrm{b}$ is obtained, which is smaller than the result of the previous distorted-wave Born approximation analysis by about 51%.

arXiv comment8 pages, 7 figures

References in corpus (7)

• The continuum discretized coupled-channels method and its applications
• New treatment of breakup continuum in the method of continuum discretized coupled channels
• Determination of S17 from 7Be(d,n)8B reaction: CDCC analyses based on three-body model
• Determination of the S_18 astrophysical factor for 8B(p,gamma)9C from the breakup of 9C at intermediate energies
• Adiabatic model of $(d,p)$ reactions with explicitly energy-dependent non-local potentials
• Determination of 8B(p,gamma)9C reaction rate from 9C breakup
• Three-Body Model Analysis of Subbarrier alpha Transfer Reaction

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• Examination of the adiabatic approximation for $(d,p)$ reactions
• Three-body description of ${}^9$C: Role of low-lying resonances in breakup reactions
• Extension of the ratio method to low energy